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Finding the Fourth Proportional to 47,207.80, 70,784.70 and 17,626.60

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Solution

The fourth proportional to 47,207.80, 70,784.70 and 17,626.60 is: 26,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,207.80 : 70,784.70 = 17,626.60 : x
  2. Step 2: Convert to fraction form
    47,207.80/70,784.70 = 17,626.60/x
  3. Step 3: Cross multiply
    47,207.80x = 70,784.70 × 17,626.60
  4. Step 4: Simplify right side
    47,207.80x = 1,247,693,593.02
  5. Step 5: Solve for x
    x = 1,247,693,593.02/47,207.80
  6. Step 6: Final answer
    x = 26,429.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.